A collage-based approach to solving inverse problems for second-order nonlinear hyperbolic PDEs

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.05.005 ◽

2015 ◽

Vol 29 (1-3) ◽

pp. 283-299

Author(s):

K.M. Levere ◽

H. Kunze ◽

D. La Torre

Keyword(s):

Inverse Problems ◽

Second Order ◽

Hyperbolic Pdes

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Multiresolution based adaptive schemes for second order hyperbolic PDEs in elastodynamic problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.09.004 ◽

2013 ◽

Vol 37 (12-13) ◽

pp. 7095-7127 ◽

Author(s):

Hassan Yousefi ◽

Asadollah Noorzad ◽

Jamshid Farjoodi

Keyword(s):

Second Order ◽

Hyperbolic Pdes ◽

Adaptive Schemes

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Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.08.018 ◽

2018 ◽

Vol 457 (1) ◽

pp. 751-775 ◽

Author(s):

Qigui Yang ◽

Qiaomin Xiang

Keyword(s):

Boundary Conditions ◽

Second Order ◽

Chaotic Oscillations ◽

Hyperbolic Pdes ◽

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Inverse problems for second order integral and integro-differential operators

Analysis and Mathematical Physics ◽

10.1007/s13324-018-0217-9 ◽

2018 ◽

Vol 9 (1) ◽

pp. 555-564 ◽

Author(s):

Sergey Buterin ◽

Vjacheslav Yurko

Keyword(s):

Inverse Problems ◽

Differential Operators ◽

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Second order asymptotical regularization methods for inverse problems in partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112798 ◽

2020 ◽

Vol 375 ◽

pp. 112798

Author(s):

Ye Zhang ◽

Rongfang Gong

Keyword(s):

Partial Differential Equations ◽

Inverse Problems ◽

Differential Equations ◽

Second Order ◽

Regularization Methods ◽

Partial Differential

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Solvability of the inverse problems for second-order equations

Functional Analysis and Its Applications ◽

10.1007/bf01078476 ◽

1986 ◽

Vol 20 (3) ◽

pp. 236-237

Author(s):

A. Kh. Amirov

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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Direct and inverse problems for second-order integro-differential operator equations in an unbounded time interval

Inverse Problems: Theory and Applications - Contemporary Mathematics ◽

10.1090/conm/333/05961 ◽

2003 ◽

pp. 163-175

Author(s):

Alfredo Lorenzi ◽

Eva Paparoni

Keyword(s):

Differential Operator ◽

Inverse Problems ◽

Second Order ◽

Time Interval ◽

Operator Equations ◽

Direct And Inverse Problems

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Chapter 6. Inverse Problems For Parabolic And Elliptical Type Second-Order Equations

Inverse Problems of Mathematical Physics ◽

10.1515/9783110926019-007 ◽

1986 ◽

pp. 208-220

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging

SIAM Journal on Imaging Sciences ◽

10.1137/20m1366277 ◽

2021 ◽

Vol 14 (2) ◽

pp. 645-688

Author(s):

Guozhi Dong ◽

Michael Hintermueller ◽

Ye Zhang

Keyword(s):

Second Order ◽

Hyperbolic Pdes

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Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3809-x ◽

2018 ◽

Vol 231 (2) ◽

pp. 111-123

Author(s):

Yu. E. Anikonov ◽

N. B. Ayupova

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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On Some Inverse Problems of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments and Partial Derivatives

Springer INdAM Series - New Prospects in Direct, Inverse and Control Problems for Evolution Equations ◽

10.1007/978-3-319-11406-4_13 ◽

2014 ◽

pp. 253-270

Author(s):

Galina Kurina

Keyword(s):

Inverse Problems ◽

Differential Equations ◽

Calculus Of Variations ◽

Second Order ◽

Deviating Arguments ◽

Partial Derivatives ◽

Second Order Differential Equations

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